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423144 = 2334653
BaseRepresentation
bin1100111010011101000
3210111110000
41213103220
5102020034
613023000
73411441
oct1472350
9714400
10423144
11269a07
12184a60
1311a7a7
14b02c8
1585599
hex674e8

423144 has 40 divisors (see below), whose sum is σ = 1187010. Its totient is φ = 140832.

The previous prime is 423133. The next prime is 423173. The reversal of 423144 is 441324.

It can be written as a sum of positive squares in only one way, i.e., 396900 + 26244 = 630^2 + 162^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 423144.

It is an unprimeable number.

423144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 322 + ... + 974.

2423144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593505).

423144 is an abundant number, since it is smaller than the sum of its proper divisors (763866).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

423144 is a wasteful number, since it uses less digits than its factorization.

423144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 658 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 423144 is about 650.4951959853. The cubic root of 423144 is about 75.0751247252.

Adding to 423144 its reverse (441324), we get a palindrome (864468).

The spelling of 423144 in words is "four hundred twenty-three thousand, one hundred forty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 653 1306 1959 2612 3918 5224 5877 7836 11754 15672 17631 23508 35262 47016 52893 70524 105786 141048 211572 423144